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Simplifying 10c + 10 = 9c + 21 Reorder the terms: 10 + 10c = 9c + 21 Reorder the terms: 10 + 10c = 21 + 9c Solving 10 + 10c = 21 + 9c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-9c' to each side of the equation. 10 + 10c + -9c = 21 + 9c + -9c Combine like terms: 10c + -9c = 1c 10 + 1c = 21 + 9c + -9c Combine like terms: 9c + -9c = 0 10 + 1c = 21 + 0 10 + 1c = 21 Add '-10' to each side of the equation. 10 + -10 + 1c = 21 + -10 Combine like terms: 10 + -10 = 0 0 + 1c = 21 + -10 1c = 21 + -10 Combine like terms: 21 + -10 = 11 1c = 11 Divide each side by '1'. c = 11 Simplifying c = 11
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